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Finding the Third Proportional to 119,930 and 264,007

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Solution

The third proportional to 119,930 and 264,007 is: 581,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,930 : 264,007 = 264,007 : x
  2. Step 2: Convert to fraction form
    119,930/264,007 = 264,007/x
  3. Step 3: Cross multiply
    119,930x = 264,007 × 264,007
  4. Step 4: Simplify right side
    119,930x = 69,699,696,049
  5. Step 5: Solve for x
    x = 69,699,696,049/119,930
  6. Step 6: Final answer
    x = 581,169.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.